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Finding the Fourth Proportional to 11,947.16, 16,484.63 and 6,909.54

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Solution

The fourth proportional to 11,947.16, 16,484.63 and 6,909.54 is: 9,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.16 : 16,484.63 = 6,909.54 : x
  2. Step 2: Convert to fraction form
    11,947.16/16,484.63 = 6,909.54/x
  3. Step 3: Cross multiply
    11,947.16x = 16,484.63 × 6,909.54
  4. Step 4: Simplify right side
    11,947.16x = 113,901,114.01
  5. Step 5: Solve for x
    x = 113,901,114.01/11,947.16
  6. Step 6: Final answer
    x = 9,533.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.